Question

The ratio of copper and zinc in an alloy is in the ratio of 9:5. the weight of the copper in the alloy is 48.6g, find the weight of zinc

Answer 1

Question:-

The ratio of copper and zinc in an alloy is in the ratio of 9:5. the weight of the copper in the alloy is 48.6g, find the weight of zinc

Answer:-

• The weight of zinc is 27 g.

To find:-

• Weight of zinc

Solution:-

• Ratio of copper and zinc = 9:5

Put x in the ratio,

• Copper = 9x
• Zinc = 5x

Given,

• Weight of copper = 48.6 g

According to question,

$\large{ \tt : \implies \: \: \: \: \: \: \: 9x = 48.6}$

$\large{ \tt : \implies \: \: \: \: \: \: \: x = \frac{48.6}{9} }$

$\large{ \tt : \implies \: \: \: \: \: \: \: x = 5.4}$

• The value of x is 5.4

Weight of zinc:-

$\large{ \tt : \implies \: \: \: \: \: \: \: 5x}$

$\large{ \tt : \implies \: \: \: \: \: \: \: 5 \times 5.4}$

$\large{ \tt : \implies \: \: \: \: \: \: \: 27}$

Hence,

The weight of zinc is 27 g.

Answer 2

Given

• The ratio of copper and zinc in an alloy is in the ratio of 9:5.
• The weight of the copper in the alloy is 48.6g.

⠀⠀

To find

• Weight of zinc in the alloy.

⠀

Solution

• Let the ratio of their weight be x.

⠀

★ Then

$\rm\longmapsto{Weight\: of\: copper = 9x}$

$\rm\longmapsto{Weight\: of\: zinc = 5x}$

⠀

$\: \: \: \: \: \: \: \: \: \:\underline{\sf{\red{But,\: we\: have\: ..}}}$

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {Weight\: of\: copper = 48.6}$

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {9x = 48.6}$

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {x = \dfrac{48.6}{9}}$

⠀

$\bf:\implies\: \: \: \: \: \: \: \: {x = 5.4}$

⠀

$\: \: \: \: \: \: \: \: \: \:\underline{\sf{\red{Calculating\: weight\: of\: zinc}}}$

⠀

$\rm\longrightarrow{Weight\: of\: zinc = 5 \times 5.4}$

$\bf\longrightarrow{Weight\: of\: zinc = 27}$

⠀

Hence,

• The weight of the zinc in the alloy is 27g.

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